Finding the Third Proportional to 269,328 and 417,600

Step by Step Solution

1. Step 1: Write the proportion equation
   269,328 : 417,600 = 417,600 : x
2. Step 2: Convert to fraction form
   269,328/417,600 = 417,600/x
3. Step 3: Cross multiply
   269,328x = 417,600 × 417,600
4. Step 4: Simplify right side
   269,328x = 174,389,760,000
5. Step 5: Solve for x
   x = 174,389,760,000/269,328
6. Step 6: Final answer
   x = 647,499.55